M. Somerday et al., EFFECT OF GRAIN-SIZE ON THE OBSERVED PSEUDOELASTIC BEHAVIOR OF A CU-ZN-AL SHAPE-MEMORY ALLOY, Metallurgical and materials transactions. A, Physical metallurgy andmaterials science, 28(11), 1997, pp. 2335-2341
The shape of stress-strain curves for a pseudoelastic copper-based sha
pe memory alloy (SMA) has been found to depend strongly on the grain s
ize-to-sample thickness ratio (gs/t). Previous investigators have attr
ibuted this effect to reduced grain constraint in coarse-grain samples
. The present investigation further analyzes the grain constraint effe
ct by modeling shape memory alloy stress-strain curves. The model resu
lts reveal that varying grain constraint can explain the observed grai
n size effect on stress-strain curves. Furthermore, detailed considera
tion of the Taylor factor equivalent for Cu-Zn-Al and NiTi shape memor
y alloys can explain the opposite curvature of polycrystal stress-stra
in curves for these two materials. Finally, several indices of grain c
onstraint are analyzed for the Cu-Zn-Al alloy examined in the present
investigation and for similar alloys used in previous studies. This ev
aluation reveals that both transformation modulus and transformation s
tress correlate with gs/t, and each can be used as an index of gain co
nstraint.